Tri-Bi-Maximal flavor pattern deviation using equivalent class

Authors

  • M. R. Aparicio-Méndez Benemérita Universidad Autónoma de Puebla
  • Olga Guadalupe Félix Beltrán Benemérita Universidad Autónoma de Puebla
  • F. González-Canales Benemérita Universidad Autónoma de Puebla
  • E. Barradas-Guevara Benemérita Universidad Autónoma de Puebla

DOI:

https://doi.org/10.31349/SuplRevMexFis.4.011008

Keywords:

Neutrinos, Tri-Bi-Maximal pattern, Equivalent classes

Abstract

We assume that the neutrino mass matrix Mν, in the model-independent context, is diagonalized by the Tri-Bi-Maximal (TBM) pattern. In the following, we explore the TBM mixing pattern deviation by considering different textures for the charged lepton matrix, which are classified into equivalence classes that allow us to reproduce the experimental data on neutrino oscillation. Our target is on the charged lepton matrix with the minimum number of free parameters, i.e., the maximum number of zeros of the texture that allows us to correctly reproduce the value of the reactor mixing angle θ13. We show a deviation from the TBM pattern in terms of the charged leptonic masses, which provides a prediction value for the phase factors in the charged lepton mass matrices. These are related to the “Dirac-like” CP and “Majorana-like” phase factors. For the last type of phase, we show its phenomenological implications through effective Majorana mass in the neutrinoless double-beta decay.

Author Biographies

M. R. Aparicio-Méndez, Benemérita Universidad Autónoma de Puebla

FACULTAD DE CIENCIAS DE LA ELECTRÓNICA

F. González-Canales, Benemérita Universidad Autónoma de Puebla

FACULTAD DE CIENCIAS DE LA ELECTRÓNICA

E. Barradas-Guevara, Benemérita Universidad Autónoma de Puebla

FACULTAD DE CIENCIAS FÍSICO MATEMÁTICAS

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Published

2023-09-08

How to Cite

1.
Aparicio-Méndez MR, Félix Beltrán OG, González-Canales F, Barradas-Guevara E. Tri-Bi-Maximal flavor pattern deviation using equivalent class. Supl. Rev. Mex. Fis. [Internet]. 2023 Sep. 8 [cited 2024 Jun. 17];4(1):011008 1-9. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6790